Inverse limits of upper semi-continuous functions, connectedness and the Cantor set

被引：3

作者：

Anaya, Jose G. ^{[1
]}

Capulin, Felix ^{[1
]}

Castaneda-Alvarado, Enrique ^{[1
]}

Sanchez-Garrido, Monica ^{[1
]}

机构：

[1] Univ Autonoma Estado Mexico, Fac Ciencias, Inst Literiario 100, Toluca 50000, Mexico

来源：

TOPOLOGY AND ITS APPLICATIONS | 2021年 / 303卷

关键词：

Inverse limit; Set-valued functions; Continuum; Contractive mappings; Cantor set;

D O I：

10.1016/j.topol.2021.107855

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study inverse limits with one upper semi-continuous function which is the union of mappings. Using the concept of Dom(F), we give sufficient conditions so that, the inverse limit is either a continuum or a Cantor set. (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：11

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